Question

Debra is going to rent a truck for one day. There are two companies she can choose from, and they have the following prices: company A has no initial fee but charges 80 cents for every mile driven. Company B charges an initial fee of $75 and an additional 70 cents for every mile driven. For what mileages will company A charge at least as much as company B? Use m for the number of miles driven, and solve your inequality for m.

Answer 1

Given that m is the number of miles driven by the truck.

From the information given,

The charge by Company A would be:

$0+80\times m=80m$

The charge by Company B would be:

$75+70\times m=75+70m$

If company A charges at least as much as company B, then

$A\ge B$

Therefore,

$\begin{gathered} 80m\ge75+70m \\ 80m-70m\ge75 \\ 10m\ge75 \\ m\ge\frac{75}{10}=7.5 \\ \text{The mileage is 7.5}\frac{miles}{cent} \end{gathered}$